Registered Data

[CT035]

  • Session Time & Room
    • CT035 (1/1) : 5C @G502 [Chair: Andrew Lam]
  • Classification
    • CT035 (1/1) : Parabolic equations and parabolic systems (35K)

[00722] Scalar auxiliary variable schemes for Cahn-Hilliard systems with mass source

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @G502
  • Type : Contributed Talk
  • Abstract : The scalar auxiliary variable approach presents a novel way to discretize a large class of dissipative systems. We consider a general Cahn-Hilliard system with mass source that may not admit a known dissipative structure, and so the stability of discrete solutions is not immediate. With a bounded mass source, we show stability and convergence of time discrete solutions for a first-order scheme, and apply our ideas to systems in tumour growth, image inpainting and segmentation.
  • Classification : 35K35, 35K55, 65M12, 65Z05
  • Format : Talk at Waseda University
  • Author(s) :
    • Andrew Lam (Hong Kong Baptist University)
    • Ru Wang (Hong Kong Baptist University)

[00937] Asymptotic and numerical approaches to degeneracies in Stefan problems

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @G502
  • Type : Contributed Talk
  • Abstract : This talk discusses how asymptotic analysis and numerics can be combined to devise computational schemes to moving boundary $($Stefan$)$ problems more accurately; in particular, this relates to degenerate situations where the solution domain is initially of zero extent, or where a domain that was initially present disappears completely. A further subtlety concerns whether a new domain starts to form instantaneously or after some delay time.
  • Classification : 35K40, 35K65, 35K60
  • Format : Talk at Waseda University
  • Author(s) :
    • Michael Vynnycky (University of Limerick)
    • Sarah Mitchell (University of Limerick)

[02483] Existence and uniqueness of traveling wave solutions for competition-diffusion systems

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @G502
  • Type : Contributed Talk
  • Abstract : In this talk, we will consider the existence and uniqueness of traveling wave solutions for a class of competition-diffusion models. We find a necessary and sufficient condition for the existence of non-decreasing traveling wave solutions connecting trivial and positive equilibria. Moreover, with the help of the asymptotic behaviors of such solutions at positive infinity, we also prove that traveling wave solutions are unique up to translations.
  • Classification : 35K40, 35K57, 35B35
  • Format : Talk at Waseda University
  • Author(s) :
    • Jian-Jhong Lin (National Taipei University of Technology)